In the meeting of said ditch commissioners, a majority of the persons elected as such shall constitute a quorum for the transaction of business, to carry out the purposes of the preceding section [73-2-47 N.M. Stat. Ann.]. They shall elect a chairman and secretary from among their number. The chairman and secretary thus elected shall hold their positions during their term of office as ditch commissioners, and it shall be the duty of the secretary to keep in a proper book all of the proceedings of the meeting and to furnish the respective superintendents with a certified copy of the rules and regulations adopted at said meeting for the apportionment and distribution of the water free of cost.